2. Let g(x) be the following function |12.x – 6x – 3 x<-1 g(x) = 1 6x 9 – x > –1 (a) Find lim,→-1- 9(x) (b) Find lim,-1+ g(x) (c) Find g(-1) (d) Determine whether a(x) is continuous at x = -1. Justify your answer.

Q: 2. By drawing a graph illustrate an example of a function f(x) such that it satisfies these three…

A: Topic = Functions

Q: x=-1 x=1 x%32 -2 EVALUATE lim f (x) x-1-

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Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

A:

Q: x – 1 is X +2 The rang of f(x)= y = ,

A:

Q: 6- Follow the graphing strategy and analyze the function f(x)= 3x³ -10x³ State all the pertinent…

A: We have to graph the given function and also find the limits.

Q: 11.   please help!   Either f(x) a graphically defined function.

A: Step 1:Step 2: Step 3: Step 4:

Q: 11. Use the definition of the limit of a function to prove that lim g(x) =- 6 if %3D (16x²-9 4x +3 3…

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Q: Find lim g(x) where x→1 x + 1 if x # 1 g(x) if x = 1

A: given,

Q: . The function f (x) is defined by the rule 2-36 if x + 6 f (x) x-6 25 if x = 6 (a) Calculate lim f…

A: Continuity criteria :  f ( x ) is continuous at x = a when following properties are satisfied :  1)…

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

Q: 13. Sketch the graph of f (x) = }" Sx² + 1 if x -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim…

A: Given that: f(x)=x2+1    if    x≤-13            if     x&gt;-1

Q: (M1.4 C) Consider the two functions h(x) = %3D and k(x) 2² + 4x+4 2+x-2 Compute the lim h(x) and lim…

A: Given: The functions hx=x2+x-2x2+4x+4 and kx=x2+4x+4x2+x-2 To find: limx→-2hx and limx→-2kx

Q: 2x2 + x +7 if x -2 (a) Find lim f(x). x→-2- (b) Find lim f(x). x-2+ (c) Find lim f(x), or show that…

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Q: If 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: Sketch a graph of a function that satisfies all of the following properties. -4- a) f(-6) is…

A: We need to sketch the graph.

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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Q: 24. Below is the graph of f(x) lim f(x) = x-1 f(-1)=

A: